On the Picard group of the A^1-stable homotopy category, by Po Hu

In the paper, we construct certain examples of smash-invertible objects in the A^1-stable homotopy category over a field. These examples are not generated by the simplicial and twisted circles, and fit into an infinite family of conjectured examples, motivated by an algebraic version of the Z/2-equivariant Hopf invariant one problem, and certain spectra whose motivic homologies are the Rost motives.

Po Hu <pohu@math.uchicago.edu>